GCD of 125, 442, 586, 647 Calculator

Given Input numbers are 125, 442, 586, 647

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 125, 442, 586, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 442, 586, 647 is 1.

Therefore, GCD of numbers 125, 442, 586, 647 is 1

Given Input Data is 125, 442, 586, 647

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 586 is 2 x 293

Prime Factorization of 647 is 647

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(125, 442) = 55250

GCD(125, 442) = ( 125 x 442 ) / 55250

GCD(125, 442) = 55250 / 55250

GCD(125, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 125, 442, 586, 647 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 113, 653, 637
• GCD of 119, 891, 120, 649
• GCD of 680, 719, 288, 789
• GCD of 937, 935, 198, 959
• GCD of 445, 671, 904, 371

1. What is the GCD of 125, 442, 586, 647?

GCD of 125, 442, 586, 647 is 1

2. Where do I get the detailed procedure to find GCD of 125, 442, 586, 647?

You can find a detailed procedure to find GCD of 125, 442, 586, 647 on our page.

3. How to find GCD of 125, 442, 586, 647 on a calculator?

You can find the GCD of 125, 442, 586, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.